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132211113000 = 23353157280703
BaseRepresentation
bin111101100100001100…
…1010111110000101000
3110122021000112102102220
41323020121113300220
54131232021104000
6140423102554040
712360212626641
oct1731031276050
9418230472386
10132211113000
11510857aa04a
1221759298920
13c60ccc7515
146582dda6c8
15368c0281a0
hex1ec8657c28

132211113000 has 128 divisors (see below), whose sum is σ = 415127531520. Its totient is φ = 35031609600.

The previous prime is 132211112987. The next prime is 132211113011. The reversal of 132211113000 is 311112231.

It is a happy number.

132211113000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330649 + ... + 611351.

It is an arithmetic number, because the mean of its divisors is an integer number (3243183840).

Almost surely, 2132211113000 is an apocalyptic number.

132211113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132211113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207563765760).

132211113000 is an abundant number, since it is smaller than the sum of its proper divisors (282916418520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132211113000 is a wasteful number, since it uses less digits than its factorization.

132211113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280884 (or 280870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132211113000 its reverse (311112231), we get a palindrome (132522225231).

The spelling of 132211113000 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 157 200 250 300 314 375 471 500 600 628 750 785 942 1000 1256 1500 1570 1884 2355 3000 3140 3768 3925 4710 6280 7850 9420 11775 15700 18840 19625 23550 31400 39250 47100 58875 78500 94200 117750 157000 235500 280703 471000 561406 842109 1122812 1403515 1684218 2245624 2807030 3368436 4210545 5614060 6736872 7017575 8421090 11228120 14035150 16842180 21052725 28070300 33684360 35087875 42105450 44070371 56140600 70175750 84210900 88140742 105263625 132211113 140351500 168421800 176281484 210527250 220351855 264422226 280703000 352562968 421054500 440703710 528844452 661055565 842109000 881407420 1057688904 1101759275 1322111130 1762814840 2203518550 2644222260 3305277825 4407037100 5288444520 5508796375 6610555650 8814074200 11017592750 13221111300 16526389125 22035185500 26442222600 33052778250 44070371000 66105556500 132211113000